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Draw a tessellating pattern using one of the provided shapes on the grid.

Tessellation worksheet with four geometric shapes and a grid for drawing tessellating patterns.

Tessellation worksheet with four geometric shapes and a grid for drawing tessellating patterns.

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Show Answer Key & Explanations Step-by-step solution for: Tessellation Worksheets

Problem Description:


The task is to create a tessellation pattern using one of the given shapes. A tessellation is a repeating pattern of shapes that covers a plane without any gaps or overlaps. The goal is to draw this pattern on the grid provided and ensure that the shapes fit together seamlessly.

Given Shapes:


The image provides several shapes to choose from:
1. An "L"-shaped tile.
2. A "T"-shaped tile.
3. A cross-shaped tile.
4. Another "T"-shaped tile (slightly different orientation).

Solution Approach:


1. Choose a Shape: Select one of the shapes to use for the tessellation.
2. Understand the Shape's Properties: Analyze how the shape can fit together with itself to cover the plane without gaps or overlaps.
3. Draw the Pattern: Use the grid to draw the tessellation, ensuring that the shapes repeat in a consistent manner.

Example Solution Using the "L"-Shaped Tile:


Let's choose the "L"-shaped tile (the first shape in the row) and create a tessellation pattern.

#### Step-by-Step Process:
1. Identify the Shape:
- The "L"-shaped tile has three squares arranged in an "L" configuration.

2. Analyze How It Tiles:
- The "L"-shaped tile can be rotated and flipped to fit together with other "L"-shaped tiles.
- By placing multiple "L"-shaped tiles next to each other, we can see that they can fill the plane without gaps.

3. Draw the Tessellation:
- Start by drawing one "L"-shaped tile in the grid.
- Place another "L"-shaped tile next to it, rotated or flipped as needed, to ensure there are no gaps.
- Continue this process, filling the grid with the "L"-shaped tiles.

#### Final Tessellation Pattern:
Here is an example of how the "L"-shaped tile can be used to create a tessellation:

```
+---+---+---+---+---+---+
| L | L | L | L | L | L |
+---+---+---+---+---+---+
| L | L | L | L | L | L |
+---+---+---+---+---+---+
| L | L | L | L | L | L |
+---+---+---+---+---+---+
| L | L | L | L | L | L |
+---+---+---+---+---+---+
| L | L | L | L | L | L |
+---+---+---+---+---+---+
| L | L | L | L | L | L |
+---+---+---+---+---+---+
```

In this pattern, each "L"-shaped tile fits perfectly with its neighbors, covering the entire grid without gaps or overlaps.

Explanation:


- The "L"-shaped tile is a classic example of a shape that can tessellate because it can be rotated and flipped to fit together seamlessly.
- By repeating the pattern, we ensure that the entire plane is covered.

Final Answer:


The tessellation pattern using the "L"-shaped tile is as follows:

\[
\boxed{
\begin{array}{|c|c|c|c|c|c|}
\hline
L & L & L & L & L & L \\
\hline
L & L & L & L & L & L \\
\hline
L & L & L & L & L & L \\
\hline
L & L & L & L & L & L \\
\hline
L & L & L & L & L & L \\
\hline
L & L & L & L & L & L \\
\hline
\end{array}
}
\]

This pattern can be extended indefinitely to cover the entire plane.
Parent Tip: Review the logic above to help your child master the concept of tessellations worksheet printable.
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